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14050343440 = 2457192694909
BaseRepresentation
bin11010001010111011…
…10011101000010000
31100021012012101210101
431011131303220100
5212233341442230
610242111342144
71005115643260
oct150535635020
940235171711
1014050343440
115a60063a91
122881521954
13142bb876b3
1497405d7a0
15573779aca
hex345773a10

14050343440 has 160 divisors (see below), whose sum is σ = 39452832000. Its totient is φ = 4545828864.

The previous prime is 14050343389. The next prime is 14050343453. The reversal of 14050343440 is 4434305041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14050343399 and 14050343408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2859706 + ... + 2864614.

It is an arithmetic number, because the mean of its divisors is an integer number (246580200).

Almost surely, 214050343440 is an apocalyptic number.

14050343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14050343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19726416000).

14050343440 is an abundant number, since it is smaller than the sum of its proper divisors (25402488560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14050343440 is a wasteful number, since it uses less digits than its factorization.

14050343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 14050343440 its reverse (4434305041), we get a palindrome (18484648481).

The spelling of 14050343440 in words is "fourteen billion, fifty million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 269 280 304 380 532 538 560 665 760 1064 1076 1330 1345 1520 1883 2128 2152 2660 2690 3766 4304 4909 5111 5320 5380 7532 9415 9818 10222 10640 10760 15064 18830 19636 20444 21520 24545 25555 30128 34363 35777 37660 39272 40888 49090 51110 68726 71554 75320 78544 81776 93271 98180 102220 137452 143108 150640 171815 178885 186542 196360 204440 274904 286216 343630 357770 373084 392720 408880 466355 549808 572432 652897 687260 715540 746168 932710 1305794 1320521 1374520 1431080 1492336 1865420 2611588 2641042 2749040 2862160 3264485 3730840 5223176 5282084 6528970 6602605 7461680 9243647 10446352 10564168 13057940 13205210 18487294 21128336 25089899 26115880 26410420 36974588 46218235 50179798 52231760 52820840 73949176 92436470 100359596 105641680 125449495 147898352 175629293 184872940 200719192 250898990 351258586 369745880 401438384 501797980 702517172 739491760 878146465 1003595960 1405034344 1756292930 2007191920 2810068688 3512585860 7025171720 14050343440